Compact Filters with Holes

Version 1.0.0 (1.03 MB) by Manuel A. Diaz
Matlab implementation of selective filters as compact operators to be used with finite-difference solvers.
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Updated 26 Jul 2022
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Explicit Selective Filters

An implementation of the explicit Taylor-based filters presented by Bogey and Bailly (2004). Using Matlab, these filters are here implemented as matrix operators suitable for using along with explicit/compact finite-difference schemes.

Test True / Noised / Filtered f(x) Error w.r.t. True f(x)
1D Test1D_compact Test1D_Error
1D+BC Test1D_compact Test1D_Error
Test Direct Explicit Filter Explicit Filter Operator
2D Test2D_explicit Test2D_compact
2D+xyBC (not implemented) Test2D_compact
2D+xBC (not implemented) Test2D_compact

References

  • Bogey, C., & Bailly, C. (2004). A family of low dispersive and low dissipative explicit schemes for flow and noise computations. Journal of Computational physics, 194(1), 194-214.
  • Berland, J., Lafon, P., Daude, F., Crouzet, F., Bogey, C., & Bailly, C. (2011). Filter shape dependence and effective scale separation in large-eddy simulations based on relaxation filtering. Computers & Fluids, 47(1), 65-74.

Cite As

Manuel A. Diaz (2026). Compact Filters with Holes (https://github.com/wme7/compact_filters/releases/tag/v1.0.0), GitHub. Retrieved .

MATLAB Release Compatibility
Created with R2022a
Compatible with any release
Platform Compatibility
Windows macOS Linux
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Version Published Release Notes
1.0.0

To view or report issues in this GitHub add-on, visit the GitHub Repository.
To view or report issues in this GitHub add-on, visit the GitHub Repository.